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Finding the Fourth Proportional to 6,091.76, 9,134.76 and 2,803.88

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Solution

The fourth proportional to 6,091.76, 9,134.76 and 2,803.88 is: 4,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.76 : 9,134.76 = 2,803.88 : x
  2. Step 2: Convert to fraction form
    6,091.76/9,134.76 = 2,803.88/x
  3. Step 3: Cross multiply
    6,091.76x = 9,134.76 × 2,803.88
  4. Step 4: Simplify right side
    6,091.76x = 25,612,752.44
  5. Step 5: Solve for x
    x = 25,612,752.44/6,091.76
  6. Step 6: Final answer
    x = 4,204.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.